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3978931680 = 253355967233
BaseRepresentation
bin1110110100101001…
…1010110111100000
3101021022001200011000
43231022122313200
531122101303210
61454454152000
7200413234623
oct35512326740
911238050130
103978931680
111762004299
12930652600
134b5455c59
1429a62bdba
151844b2ac0
hexed29ade0

3978931680 has 384 divisors, whose sum is σ = 14435366400. Its totient is φ = 1023086592.

The previous prime is 3978931669. The next prime is 3978931681. The reversal of 3978931680 is 861398793.

3978931680 is a `hidden beast` number, since 397 + 8 + 93 + 168 + 0 = 666.

It is a super-3 number, since 3×39789316803 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978931681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17076844 + ... + 17077076.

It is an arithmetic number, because the mean of its divisors is an integer number (37592100).

Almost surely, 23978931680 is an apocalyptic number.

3978931680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217683200).

3978931680 is an abundant number, since it is smaller than the sum of its proper divisors (10456434720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3978931680 is a wasteful number, since it uses less digits than its factorization.

3978931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3978931680 is about 63078.7736088773. The cubic root of 3978931680 is about 1584.6091550567.

The spelling of 3978931680 in words is "three billion, nine hundred seventy-eight million, nine hundred thirty-one thousand, six hundred eighty".